большие надежды(Hopes ran high for a new era of cooperation and friendship between the United States and Russia, and in the world more broadly.- The Nationdiyaroschuk)
быть на взводе(вариант требует замены конструкции: Feelings there have been running high in the wake of last week's killing. • Emotions were running high and people are annoyed by what happened because we all felt it was a definite foul. • At the launch of the report, where feelings ran high, two people from different sides of the divide initially hurled insults at one another.)